Question
Evaluate the following:
$\sin60^\circ\cos30^\circ+\cos60^\circ\sin30^\circ$
$\sin60^\circ\cos30^\circ+\cos60^\circ\sin30^\circ$
✓
Answer
$\sin60^\circ\cos30^\circ+\cos60^\circ\sin30^\circ$
$=\frac{\sqrt{2}}{2}\times\frac{\sqrt{3}}{2}+\frac{1}{2}\times\frac{1}{2}$
$=\frac{3}{4}+\frac{1}{4}$
$=\frac{3+1}{4}$
$=\frac{4}{4}$
$=1$
$=\frac{\sqrt{2}}{2}\times\frac{\sqrt{3}}{2}+\frac{1}{2}\times\frac{1}{2}$
$=\frac{3}{4}+\frac{1}{4}$
$=\frac{3+1}{4}$
$=\frac{4}{4}$
$=1$
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